Results 11 to 20 of about 117,020 (320)
Schur's exponent conjecture - counterexamples of exponent $5$ and exponent $9$ [PDF]
International Journal of Group Theory, 2021 There is a long-standing conjecture attributed to I. Schur that if $G$ is a finite group with Schur multiplier $M(G)$ then the exponent of $M(G)$ divides the exponent of $G$. In this note I give an example of a four generator group $G$ of order $5^{4122}$
Michael Vaughan-Lee
doaj +4 more sources
Journal of Physics A: Mathematical and Theoretical, 2019 Many physical processes result in very uneven, apparently random, distributions of matter, characterized by fluctuations of the local density over orders of magnitude. The density of matter in the sparsest regions can have a power-law distribution, with an exponent that we term the lacunarity exponent.
Michael Wilkinson +3 more
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Extremes of Error Exponents [PDF]
IEEE Transactions on Information Theory, 2013 This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity $C$ and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for other quantities related to Gallager's $E_0$ function ...
Fàbregas, AG, Land, I, Martinez, A
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On Khintchine exponents and Lyapunov exponents of continued fractions [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractAssume that x∈[0,1) admits its continued fraction expansion x=[a1(x),a2(x),…]. The Khintchine exponent γ(x) of x is defined by $\gamma (x):=\lim _{n\to \infty }({1}/{n}) \sum _{j=1}^n \log a_j(x)$ when the limit exists. The Khintchine spectrum dim Eξ is studied in detail, where Eξ:={x∈[0,1):γ(x)=ξ}(ξ≥0) and dim denotes the Hausdorff dimension.
Fan, Ai-Hua +3 more
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Recovering a variable exponent
Documenta Mathematica, 2021 We consider an inverse problem of recovering the non-linearity in the one dimensional variable exponent p(x) -Laplace equation from the Dirichlet-to-Neumann map. The variable exponent can be recovered up to the natural obstruction of rearrangements.
Brander, Tommi, Siltakoski, Jarkko
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Ljapunov Exponents, Hyperchaos and Hurst Exponent [PDF]
Zeitschrift für Naturforschung A, 2005 Abstract We consider nonlinear dynamical systems with chaotic and hyperchaotic behaviour.We investigate the behaviour of the Hurst exponent at the transition from chaos to hyperchaos. A two-dimensional coupled logistic map is studied.
Eugenio Cosme Andrieu, Willi-Hans Steeb
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Recurrence and Lyapunov Exponents [PDF]
Moscow Mathematical Journal, 2003 We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.
Saussol, B. +2 more
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Semi‐supervised classification of fundus images combined with CNN and GCN
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose Diabetic retinopathy (DR) is one of the most serious complications of diabetes, which is a kind of fundus lesion with specific changes. Early diagnosis of DR can effectively reduce the visual damage caused by DR. Due to the variety and different morphology of DR lesions, automatic classification of fundus images in mass screening can ...
Sixu Duan +8 more
wiley +1 more source